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Finding the Fourth Proportional to 30,475.71, 42,054.51 and 17,044.64

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Solution

The fourth proportional to 30,475.71, 42,054.51 and 17,044.64 is: 23,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.71 : 42,054.51 = 17,044.64 : x
  2. Step 2: Convert to fraction form
    30,475.71/42,054.51 = 17,044.64/x
  3. Step 3: Cross multiply
    30,475.71x = 42,054.51 × 17,044.64
  4. Step 4: Simplify right side
    30,475.71x = 716,803,898.10
  5. Step 5: Solve for x
    x = 716,803,898.10/30,475.71
  6. Step 6: Final answer
    x = 23,520.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.